Let and be two vertical poles at and respectively on a horizontal ground

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

AD

and

BC

be two vertical poles at

A

and

B

respectively on a horizontal ground. If

AD=8\text{ m}

BC=11\text{ m}

and

AB=10\text{ m}

; then the distance (in meters) of a point

M

AB

from the point

A

such that

MD^2+MC^2

is minimum is